World music, as a term of genre, has long been neither stable nor especially precise: its reach extends equally to African pop stars, Indian classical masters and Latin American folk musicians. That’s a classification problem, but also a programming opportunity, as the organizers of GLOBALFEST prove each year. Now in its sixth season, this one-day festival reflects a world in which borders are often fluid and the most robust traditions are capable of change.

A number of the artists appearing at Webster Hall on Sunday night are experienced and savvy operators. True, Femi Kuti, the eldest son of the Nigerian Afrobeat pioneer Fela Kuti, canceled less than a week before the show. But KAILASH KHER, a charismatic Indian singer in the Sufi tradition (and a prominent voice of the new Bollywood), will still be on hand to lead his group, Kailasa, in a United States debut. The Inuit throat singer TANYA TAGAQ comes with the validation of several Canadian Aboriginal Music Awards, along with a prominent endorsement from Bjork. And CALYPSO ROSE, from the island of Tobago, brings her deeply authoritative, irresistibly buoyant take on calypso.

Many of the lesser-known acts share a common thread of amalgamation. This is as true of MÁRCIO LOCAL, a funk-and-soul band from Rio de Janeiro, as it is of CHICHA LIBRE, the psychedelic-tinged cumbia group that holds down a weekly gig in Park Slope, Brooklyn. Their mission may be a little different than that of the SHANBEHZADEH ENSEMBLE, which upholds ancient cultural traditions of southern Iran. But the outcome has similar potential to entertain, if not enthrall. At 7 p.m., 125 East 11th Street, East Village, (212) 307-7171, ticketmaster.com; $40.